Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​ t-test and the pooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.   x1=19​, s1=4​, n1=21​, x2=22​, s2=3​, n2=13   a.​ Left-tailed test, α=0.05 b. 90​% confidence interval   a. What are the correct hypotheses for a​ left-tailed test?     A. H0​: μ1=μ2 Ha​: μ1>μ2   B. H0​: μ1<μ2 Ha​: μ1=μ2   C. H0​: μ1>μ2 Ha​: μ1=μ2   D. H0​: μ1=μ2 Ha​: μ1≠μ2   E. H0​: μ1≠μ2 Ha​: μ1=μ2   F. H0​: μ1=μ2 Ha​: μ1< μ2   Compute the test statistic.   t=-2.324 (round to three decimal places as needed)   Determine the critical value   −tα= -1.694 ​(Round to three decimal places as​ needed.)   The 90% confidence interval is from _________ to _________. (Round to three decimal places as needed)

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